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Finding the Fourth Proportional to 260.33, 389.69 and 194.95

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Solution

The fourth proportional to 260.33, 389.69 and 194.95 is: 291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.33 : 389.69 = 194.95 : x
  2. Step 2: Convert to fraction form
    260.33/389.69 = 194.95/x
  3. Step 3: Cross multiply
    260.33x = 389.69 × 194.95
  4. Step 4: Simplify right side
    260.33x = 75,967.14
  5. Step 5: Solve for x
    x = 75,967.14/260.33
  6. Step 6: Final answer
    x = 291.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.